Determine ( _ x 3 x^ 2 -5x+6 x^ 2 -9 ).

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Determine

\displaystyle \lim_{x\to 3}\frac{x^{2}-5x+6}{x^{2}-9}

. (a)

\dfrac{1}{2}

(b)

-\dfrac{1}{6}

(c)

\dfrac{1}{6}

(d)

\dfrac{1}{9}